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Finding the Fourth Proportional to 299,473.27, 413,123.96 and 178,529.33

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Solution

The fourth proportional to 299,473.27, 413,123.96 and 178,529.33 is: 246,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,473.27 : 413,123.96 = 178,529.33 : x
  2. Step 2: Convert to fraction form
    299,473.27/413,123.96 = 178,529.33/x
  3. Step 3: Cross multiply
    299,473.27x = 413,123.96 × 178,529.33
  4. Step 4: Simplify right side
    299,473.27x = 73,754,745,264.88
  5. Step 5: Solve for x
    x = 73,754,745,264.88/299,473.27
  6. Step 6: Final answer
    x = 246,281.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.